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Finding the Fourth Proportional to 12,422.60, 17,143.19 and 7,120.50

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Solution

The fourth proportional to 12,422.60, 17,143.19 and 7,120.50 is: 9,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.60 : 17,143.19 = 7,120.50 : x
  2. Step 2: Convert to fraction form
    12,422.60/17,143.19 = 7,120.50/x
  3. Step 3: Cross multiply
    12,422.60x = 17,143.19 × 7,120.50
  4. Step 4: Simplify right side
    12,422.60x = 122,068,011.21
  5. Step 5: Solve for x
    x = 122,068,011.21/12,422.60
  6. Step 6: Final answer
    x = 9,826.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.